城市地下嵌岩型和摩擦型双层衬砌竖井结构竖向地震响应对比分析  

Comparative study on vertical seismic response of rock-socketed and frictional underground shaft with double layered lining in urban city

作　　者：张卜 卢立东 钟紫蓝 姬若愚 杜修力[1,2] ZAHNG Bu;LU Lidong;ZHONG Zilan;JI Ruoyu;DU Xiuli(Faculty of Architecture,Civil and Transportation Engineering,Beijing University of Technology,Beijing 100124,China;Key Laboratory of Urban Security and Disaster Engineering,Ministry of Education,Beijing University of Technology,Beijing 100124,China)

机构地区：[1]北京工业大学城市建设学部,北京100124 [2]北京工业大学城市与工程安全减灾教育部重点实验室,北京100124

出　　处：《世界地震工程》2023年第4期32-39,共8页World Earthquake Engineering

基　　金：国家自然科学基金联合基金项目(U1839201);中国博士后科学基金资助项目(2021M700311)。

摘　　要：城市地下竖井结构被广泛用于城市深层立体停车场、防洪排涝调蓄竖井和地下调蓄池等工程中,为阐明“嵌岩型”和“摩擦型”竖井底部固定边界条件和弹性边界条件对其竖向地震响应影响,本文以竖井结构为研究对象,将其初衬和二次衬砌简化为文克勒粘弹性地基上两根平行可竖向振动的杆,基于广义位移法基本思想,通过分布传递函数法推导了两种不同底部边界条件下竖井结构竖向地震响应解析解。通过开展有限元数值计算验证了本文解析解的准确性。最后基于解析解从地基弹簧刚度、二次衬砌刚度和竖井外径的角度开展参数分析,研究了竖井底部固定边界条件和弹性边界条件对竖井初衬及二次衬砌竖向地震响应影响规律。结果表明:固定边界条件下的竖井峰值位移小于弹性边界条件下的峰值位移;两种边界条件的初衬峰值位移均随着地基弹簧刚度的增大而增大,而弹性边界条件下二次衬砌峰值位移呈减小趋势;两种边界条件下二次衬砌峰值位移均会随着二次衬砌刚度的增大略微减小,初衬峰值位移无明显变化;两种边界条件下峰值位移均会随着竖井外径的增大而减小。Urban underground shafts are widely used in urban deep three-dimensional parking lots,flood control storage shafts and underground storage ponds,etc.To elucidate the effects of fixed boundary conditions and elastic boundary conditions on the vertical seismic response of‘rock-inlaid’and‘frictional’shafts,this paper simplifies the primary and secondary lining as two parallel vertical vibrating rods in a Winkler viscoelastic foundation.Based on the basic idea of the generalized displacement method,the analytical solution of the vertical seismic response of the shaft structure under two different bottom boundary conditions is derived by the distributed transfer function method.The accuracy of the analytical solution is verified by carrying out finite element numerical calculations.Finally,based on the analytical solution,parametric analysis is carried out from the perspectives of foundation spring stiffness,secondary lining stiffness and shaft outer diameter,the influence of fixed and elastic boundary conditions at the bottom of the shaft on the vertical seismic response of the shaft primary lining and secondary lining is studied.The results show that the peak displacement of the shaft under fixed boundary conditions is smaller than that under elastic boundary conditions;the peak displacement of the primary lining increases with the increase of the spring stiffness of the foundation under both boundary conditions,while the peak displacement of the secondary lining decreases under the elastic boundary conditions;the peak displacement of the secondary lining decreases slightly with the increase of the secondary lining stiffness under both boundary conditions,and the peak displacement of the primary lining does not change significantly The peak displacement decreases with the increase of shaft outer diameter under both boundary conditions.

关 键 词：地下结构抗震 竖井结构 竖井衬砌 地震响应 弹性地基杆 

分 类 号：TU9[建筑科学] U45[建筑科学—桥梁与隧道工程]